STA1502 EXAM PACK 2024

STA1502
EXAM PACK

This document includes:

• Exam questions and answers and guidelines for
better understanding,
• Summarised study notes
• Exam guidelines and tips




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STA1502 OCTOBER NOVEMBER 2023
1 TRIAL EXAMINATION PAPER
Question 1

For a sample of 10 observations with a sample mean of 39 and sample standard deviation of 4. Let
assume that a second sample of size 7 is independent and from other population with a sample
mean of 37 and sample standard deviation of 3. Test the hypothesis that the population mean for
group 1 is greater than the population mean from group 2, which one of the following statement is
correct?
1. The population variance are known.
2. The alternative hypothesis is H1 : 1 < 2:

3. The critical value at 5% is 2:131.
4. H0 is not rejected at 5% level of significance.
5. The test statistic is 1:117:

Question 2

Using the information on question 1, the 95% confidence interval estimate for the difference be-
tween two population means is
1. .1:694I 5:694/
2. . 1:03269I 5:03269/
3. .1:03269I 5:03269/
4. . 1:69I 5:694/
5. . 1:81I 5:81/

Question 3

Given the folowing data:
Sample 1 Sample mean D 250 Sample standard deviation D 27 Sample size n 1 D 9
Sample 2 Sample mean D 238 Sample standard deviation D 15 Sample size n 2 D 9
Assume that the two samples are independent and normally distributed with unequal variances.
The test statistic for the difference between the two population means is
1. 12
2. 10:2956
3. 1:1655
4. 13:242
5. 1:1655


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